Answer:
4x +10 + 3x +2 = 180 (since they're supplementary, the angles together =180)
7x +12 =180 (combine like terms on left side, and subtract 12 from both sides)
7x = 168 (divide both sides by 7 to isolate x)
x= 24
angle 1 = 4(24)+10 (plug x into the expression for each angle, and solve)
..................96 +10
angle 1 = 106 degrees (the measure of the first angle)
angle 2 = 3(24) +2
..................72 +2
angle 2 = 74 (the measure of the second angle)
106 +74 =180 (the two add up to 180, so they're supplementary)
Step-by-step explanation:
I hope this helps :)
Answer:
HI! I think the answer is 4.
Answer:
No, she is not correct
Step-by-step explanation:
Given: Alana claims that not all 4-sided polygons with 2 pairs of equal sides are parallelograms
To check: whether she is correct or not.
Solution:
Any two-dimensional figure formed using straight lines is known as a polygon. Triangles, quadrilaterals are examples of polygons.
A parallelogram is a quadrilateral in which opposite sides are parallel.
Kite is a polygon made up of four sides with two pairs of equal sides that are adjacent to each other but it is not a parallelogram as its opposite sides are not parallel.
So, she is not correct.
The next term is double the previous term, so that the 
-th term is given recursively by
This rule tells us that
and so on, with the explicit rule
for 
.
If 512 is the 
-th term in the sequence, then
